Explanation Given information: The torque exerted on the disk A is T A = 300 N ⋅ m . The torque exerted on the disk B is T B = 400 N ⋅ m . The modulus of rigidity of aluminum is G = 73 GPa . The diameter of shaft AB is d A B = 30 mm . The diameter of shaft BC is d B C = 46 mm . The length of shaft AB is L A B = 0.9 m . The length of shaft BC is L B C = 0.75 m . Calculation: Calculate the polar moment of inertia ( J ) as shown below. J = π d 4 32 (1) For shaft AB . Substitute 30 mm for d in Equation (1). J A B = π × 30 4 32 = 79.52 × 10 3 mm 4 × ( 1 m 1 , 000 mm ) 4 = 79.52 × 10 − 9 m 4 For shaft BC . Substitute 46 mm for d in Equation (1). J B C = π × 46 4 32 = 439.57 × 10 3 mm 4 × ( 1 m 1 , 000 mm ) 4 = 439.57 × 10 − 9 m 4 Calculate torque acting on shaft AB ( T A B ) as shown below. T A B = T A Substitute 300 N ⋅ m for T A . T A B = 300 N ⋅ m Calculate torque acting on shaft BC ( T B C ) as shown below. T B C = T A + T B Substitute 300 N ⋅ m for T A and 400 N ⋅ m for T B . T B C = 300 + 400 = 700 N ⋅ m Calculate the strain energy ( U ) as shown below. U = T 2 L 2 G J (2) Calculate the strain energy for shaft AB ( U A B ) as shown below

7th Edition

ISBN: 9780073398235

Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek

Publisher: McGraw-Hill Education

See similar textbooks

Videos

Question

Chapter 11.3, Problem 33P

To determine

Find the strain energy acquired by the assembly.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.3, Problem 32P

Chapter 11.3, Problem 34P

Students have asked these similar questions

The solid circular drill rod AB is made of a steel that is assumed to be elastoplastic with ry= 22 ksi and G= 11.2 × 106 psi. Knowing that a torque T = 73 kip·in. is applied to the rod and then removed, determine the maximum residual shearing stress in the rod. 35 ft 4 1.2 in. The maximum residual shearing stress in the rod is ksi.

The solid circular drill rod AB is made of a steel that is assumed to be elastoplastic with TY = 22 ksi and G = 11.2 x 106 psi. Knowing that a torque T = 73 kip-in. is applied to the rod and then removed, determine the permanent angle of twist of the rod. The permanent angle of twist of the rod is

Chapter 11 Solutions

Mechanics of Materials, 7th Edition

Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - Determine the modulus of resilience for each of...Ch. 11.3 - The stress-strain diagram shown has been drawn...Ch. 11.3 - The stress-strain diagram shown has been drawn...Ch. 11.3 - Prob. 7P Ch. 11.3 - Prob. 8P Ch. 11.3 - Using E = 29 106 psi, determine (a) the strain...Ch. 11.3 - Using E = 200 GPa, determine (a) the strain energy...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Find the strain energy acquired by the assembly.

Solution Summary: The author calculates the strain energy acquired by the assembly. The torque exerted on the disk A is T_TextA=300, and the modulus of rigidity of aluminum is

Videos

Find the strain energy acquired by the assembly.

Want to see the full answer?

Chapter 11 Solutions